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On the rational parametric solution of diagonal quartic varieties

Algebraic Geometry 2023-08-24 v1

Abstract

In this paper we will exhibit a rational parametric solution for the Diophantine equations of diagonal quartic varieties. Our approach is based on utilizing the Calabi-Yau varieties including elliptic curves and diagonal quartic surfaces.

Keywords

Cite

@article{arxiv.2308.11872,
  title  = {On the rational parametric solution of diagonal quartic varieties},
  author = {Hassan Shabani-Solt and Amir Sarlak},
  journal= {arXiv preprint arXiv:2308.11872},
  year   = {2023}
}

Comments

To appear in Mathematica Slovaca

R2 v1 2026-06-28T12:02:06.602Z